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128455040 = 275753541
BaseRepresentation
bin1111010100000…
…01000110000000
322221201012012002
413222001012000
5230341030130
620425123132
73116564330
oct752010600
9287635162
10128455040
116656719a
12370294a8
13207c74cc
14130bb0c0
15b425b45
hex7a81180

128455040 has 128 divisors (see below), whose sum is σ = 358240320. Its totient is φ = 43130880.

The previous prime is 128455003. The next prime is 128455049. The reversal of 128455040 is 40554821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 128454994 and 128455012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128455049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237170 + ... + 237710.

Almost surely, 2128455040 is an apocalyptic number.

128455040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179120160).

128455040 is an abundant number, since it is smaller than the sum of its proper divisors (229785280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128455040 is an equidigital number, since it uses as much as digits as its factorization.

128455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 128455040 is about 11333.8007746740. The cubic root of 128455040 is about 504.5649162449.

The spelling of 128455040 in words is "one hundred twenty-eight million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 128 140 160 212 224 265 280 320 371 424 448 530 541 560 640 742 848 896 1060 1082 1120 1484 1696 1855 2120 2164 2240 2705 2968 3392 3710 3787 4240 4328 4480 5410 5936 6784 7420 7574 8480 8656 10820 11872 14840 15148 16960 17312 18935 21640 23744 28673 29680 30296 33920 34624 37870 43280 47488 57346 59360 60592 69248 75740 86560 114692 118720 121184 143365 151480 173120 200711 229384 237440 242368 286730 302960 346240 401422 458768 484736 573460 605920 802844 917536 1003555 1146920 1211840 1605688 1835072 2007110 2293840 2423680 3211376 3670144 4014220 4587680 6422752 8028440 9175360 12845504 16056880 18350720 25691008 32113760 64227520 128455040